Pith Number

pith:6CHUUELM

pith:2017:6CHUUELM7YXLVHEY7R5C45FUNP

not attested not anchored not stored refs pending

Vector-valued Jack Polynomials and Wavefunctions on the Torus

Charles F. Dunkl

arxiv:1702.02109 v1 · 2017-02-07 · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CHUUELM7YXLVHEY7R5C45FUNP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:44:15.579157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08f4a116cfe2eba9c98fc7a2e74b46bc6de939508f79c30983caa6a2a645c5f

Aliases

arxiv: 1702.02109 · arxiv_version: 1702.02109v1 · doi: 10.48550/arxiv.1702.02109 · pith_short_12: 6CHUUELM7YXL · pith_short_16: 6CHUUELM7YXLVHEY · pith_short_8: 6CHUUELM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6CHUUELM7YXLVHEY7R5C45FUNP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f08f4a116cfe2eba9c98fc7a2e74b46bc6de939508f79c30983caa6a2a645c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bf3ef7b1b96420d10c3ce8fba8d00e44fde8d3d10ad4502c28903f47924240",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-07T17:26:28Z",
    "title_canon_sha256": "e58b2da31ec5dbebac0157b8fd86b7e5eea8c3405efedf7c237c23e343c283b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02109",
    "kind": "arxiv",
    "version": 1
  }
}